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Finding the Fourth Proportional to 946.86, 1,306.18 and 553.66

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Solution

The fourth proportional to 946.86, 1,306.18 and 553.66 is: 763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.86 : 1,306.18 = 553.66 : x
  2. Step 2: Convert to fraction form
    946.86/1,306.18 = 553.66/x
  3. Step 3: Cross multiply
    946.86x = 1,306.18 × 553.66
  4. Step 4: Simplify right side
    946.86x = 723,182.28
  5. Step 5: Solve for x
    x = 723,182.28/946.86
  6. Step 6: Final answer
    x = 763.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.